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1. |
Find the value of x in the pair of similar polygons. |
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A. |
7.5 |
B. |
6 |
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C. |
7.3 |
D. |
7 |
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Hint |
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2. |
Architecture On the floor plan for a building, 1 inch represents 20 feet. If the dimensions of a room on the plan are inch by inches, what are the actual dimensions of the room? |
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A. |
15.5 ft by 25 ft |
B. |
16 ft by 28 ft |
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C. |
18 ft by 21.5 ft |
D. |
17.5 ft by 25 ft |
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Hint |
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3. |
The measures of both legs of a right triangle are 4. What is the measure of the hypotenuse? |
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A. |
 |
B. |
 |
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C. |
8 |
D. |
 |
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Hint |
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4. |
Find the value of y. |
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A. |
18 |
B. |
 |
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C. |
4.5 |
D. |
 |
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Hint |
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5. |
Find the value of cos 62° to the nearest ten-thousandth. |
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A. |
0.8988 |
B. |
0.8829 |
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C. |
1.8807 |
D. |
0.4695 |
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Hint |
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6. |
If tan B = 1.6732, what is the measure of B to the nearest tenth of a degree? |
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A. |
59.1° |
B. |
1.7° |
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C. |
30.9° |
D. |
33.9° |
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Hint |
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7. |
Given XY = 12 and = 40°, find YZ to the nearest tenth. |
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A. |
7.7 |
B. |
9.2 |
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C. |
18.7 |
D. |
10.1 |
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Hint |
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8. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
235.2 ft |
B. |
48.9 ft |
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C. |
10.6 ft |
D. |
10.4 ft |
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Hint |
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9. |
Caving While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°. The rock formation is 10 feet away and he is measuring from a point 3 feet above the floor of the cave. To the nearest tenth of a foot, how high is the rock formation? |
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A. |
4.0 ft |
B. |
24.8 ft |
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C. |
7.0 ft |
D. |
27.8 ft |
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Hint |
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10. |
Solve . Round measures of sides to the nearest tenth and measures of angles to the nearest degree. |
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A. |
E = 64°, d = 11.7 e = 14.4 |
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B. |
E = 64°, d = 14.4, e = 12.9 |
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C. |
E = 64°, d = 12.9, e = 14.4 |
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D. |
E = 64°, d = 12.9, e = 11.4 |
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Hint |
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11. |
Find the length of the missing side to the nearest hundredth. |
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A. |
7.62 |
B. |
7.81 |
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C. |
8.25 |
D. |
8.06 |
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Hint |
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12. |
Which side measures do not form a right triangle? |
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A. |
3, 4, 5 |
B. |
5, 12, 13 |
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C. |
10, 12, 15 |
D. |
9, 40, 41 |
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Hint |
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13. |
Find the value of x. |
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A. |
5 |
B. |
4.5 |
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C. |
12.5 |
D. |
7.5 |
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Hint |
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14. |
In the figure, . If FH = 12, HJ = 3, and the perimeter of HIJ = 13, then what is the perimeter of FGH? |
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A. |
25 |
B. |
48 |
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C. |
36 |
D. |
52 |
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Hint |
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15. |
Find the value of z to the nearest tenth. |
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A. |
0.7 |
B. |
29 |
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C. |
41.2 |
D. |
61 |
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Hint |
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16. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
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A. |
117.2 ft. |
B. |
155.3 ft. |
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C. |
477.3 ft. |
D. |
460.9 ft. |
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Hint |
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